@article{atheoreticalframeworkforauxiliarylossfre,
  title = {A Theoretical Framework for Auxiliary-Loss-Free Load Balancing of Sparse Mixture-of-Experts in Large-Scale AI Models},
  author = {X. Y. Han and Yuan Zhong},
  year = {2025},
  eprint = {2512.03915},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2512.03915},
}